Exact analytic spectra of rogue waves for Manakov equations

Shao Chun Chen; Chong Liu; Nail Akhmediev

doi:10.1103/PhysRevA.109.023527

Exact analytic spectra of rogue waves for Manakov equations

Shao Chun Chen, Chong Liu, Nail Akhmediev

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

The spectra of rogue waves of Manakov equations that exist in both focusing and defocusing regimes are derived in analytic form. These spectra are asymmetric during their whole expansion-contraction cycle. They have triangular shape at each side of the spectrum in the log scale. Such spectra are characterized by two quantities: the slopes of the spectra and the spectral jump at zero frequency. We confirm our analytical results using numerical simulations.

Original language	English
Article number	023527
Journal	Physical Review A
Volume	109
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.109.023527
Publication status	Published - Feb 2024

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10.1103/PhysRevA.109.023527

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title = "Exact analytic spectra of rogue waves for Manakov equations",

abstract = "The spectra of rogue waves of Manakov equations that exist in both focusing and defocusing regimes are derived in analytic form. These spectra are asymmetric during their whole expansion-contraction cycle. They have triangular shape at each side of the spectrum in the log scale. Such spectra are characterized by two quantities: the slopes of the spectra and the spectral jump at zero frequency. We confirm our analytical results using numerical simulations.",

author = "Chen, {Shao Chun} and Chong Liu and Nail Akhmediev",

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N2 - The spectra of rogue waves of Manakov equations that exist in both focusing and defocusing regimes are derived in analytic form. These spectra are asymmetric during their whole expansion-contraction cycle. They have triangular shape at each side of the spectrum in the log scale. Such spectra are characterized by two quantities: the slopes of the spectra and the spectral jump at zero frequency. We confirm our analytical results using numerical simulations.

AB - The spectra of rogue waves of Manakov equations that exist in both focusing and defocusing regimes are derived in analytic form. These spectra are asymmetric during their whole expansion-contraction cycle. They have triangular shape at each side of the spectrum in the log scale. Such spectra are characterized by two quantities: the slopes of the spectra and the spectral jump at zero frequency. We confirm our analytical results using numerical simulations.

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Exact analytic spectra of rogue waves for Manakov equations

Abstract

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